Rational Expressions & Equations

Simplify  $\frac{7n}{3n-18}+\frac{n+3}{3}$  

•  $\frac{8n+3}{3n-15}$  

•  $\frac{n^2+4n-18}{3\left(n-6\right)}$  

•  $\frac{7\left(n+3\right)}{3\left(3n-18\right)}$  

•  $\frac{7n+n+3}{3n-18+3}$  

Simplify $\frac{8n}{n-3}+\frac{3n}{5n-6}$  

•  $\frac{43n^2-9}{\left(5n-6\right)\left(n-3\right)}$  

•  $\frac{11n}{6n-9}$  

•  $\frac{43n^2-57n}{\left(n-3\right)\left(5n-6\right)}$  

•  $\frac{8n+3n}{n-3+5n-6}$  

 $\frac{1}{6x}+\frac{1}{6}=\frac{1}{2x}$  Solve. Check for extraneous solutions.

•  $x\ =\ 2$  

•  $x\ =\ 3$  

•  $x\ =\ 0$  

•  $x\ =\ 1$  

Simplify

• (x-9)/(x+9)
• 1/(x-9)
• (x+9)
• 1/(x+9)

Simplify

(8x + 32)/( x+4)

• 8/(x - 4)

• -x/(x - 4)

• -8

• 8

Reduce, or simplify

the rational expression.

• ( x + 5 )( x - 5 ) / ( x + 5 )( x - 2 )

• ( x - 5 ) / ( x - 2 )

• ( x + 5 ) / ( x - 2 )

• -25 / ( 3x - 10 )

Simplify
     15x²/5x³

• 3x
• 3/x
• x/3
• 5/x

Simplify.

• 1/(n-7)
• n-7
• (n-6)/(n-7)
• n-6

Solve for x.  $\frac{-8}{x+6}=\frac{3}{2x}$  

•  $x=-\frac{6}{19}$  

•  $x=\frac{19}{18}$  

•  $x=-\frac{18}{13}$  

•  $x=-\frac{18}{19}$  

Solve for x.  $\frac{6}{2x-5}-2=4$  

• No Solution

•  $x=\frac{5}{2}$  

•  $x=3$  

•  $x=-3$